{
 "cells": [
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. _nb_welded_beam:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Welded Beam\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "code": "usage_problem.py",
    "section": "bnh"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 393
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pymoo.factory import get_problem\n",
    "from pymoo.util.plotting import plot\n",
    "\n",
    "problem = get_problem(\"welded_beam\")\n",
    "plot(problem.pareto_front(), no_fill=True)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
